Skip to content / Đến nội dung
ThichHocToan.com

MathNet 2022-part-01 — 197 problems (EN–VI) Question 23

Math Olympiad Vault · MathNet 2022-part-01 — 197 problems (EN–VI)

Question 23

Eight teams take part in a rugby tournament in which every team plays exactly one match against each of the other seven teams. In each match, if the teams draw against each other, both of them earn 1 point; otherwise, the winner earns 2 points and the loser earns no points.
At the end of the tournament, the final scores of the eight teams are all different and the score of the winning team equals the sum of the four lowest scores. Give an example of a tournament which satisfies all these conditions.